Applications of representation theory to harmonic analysis of Lie groups (and vice versa) Cowling, Michael en_US 2021-11-25T14:29:28Z 2021-11-25T14:29:28Z 2008 en_US
dc.description.abstract These notes began as lectures that I intended to deliver in Edinburgh in April, 1999. Unfortunately I was not able to leave Australia at the time. Since then there has been progress on many of the topics, some of which is reported here, and I have added another lecture, on uniformly bounded representations, so that these notes are expanded on the original version in several ways. I have tried to make these notes an understandable introduction to the subject for mathematicians with little experience of analysis on Lie groups or Lie theory. I aimed to present a wide panorama of different aspects of harmonic analysis on semisimple groups and symmetric spaces, and to try to illuminate some of the links between these aspects; I may well not have succeeded in this aim. Many readers will find much of what is written here to be elementary, and others may well disagree with my perspective. I apologise in advance to both the neophytes for whom my outline is too sketchy and to the experts for whom these notes are worthless. I had hoped to produce an extensive bibliography, but I have not found the time to do so. Consequently I must bear the responsibility for the many omissions of important references in the subject. Whoever wishes to delve into this subject more deeply will need a more complete introduction. There are many possibilities; the books of S. Helgason [59, 60, 62] and of A.W. Knapp [71] come to mind immediately as essential reading. en_US
dc.identifier.isbn 9783540768913 en_US
dc.language English
dc.language.iso EN en_US
dc.publisher Springer en_US
dc.rights CC BY-NC-ND 3.0 en_US
dc.rights.uri en_US
dc.source Legacy MARC en_US
dc.title Applications of representation theory to harmonic analysis of Lie groups (and vice versa) en_US
dc.type Book Chapter en
dcterms.accessRights metadata only access
dspace.entity.type Publication en_US
unsw.accessRights.uri Germany en_US
unsw.relation.faculty Science
unsw.relation.ispartofpagefrompageto 1-50 en_US
unsw.relation.ispartoftitle Lectures in Mathematics en_US
unsw.relation.originalPublicationAffiliation Cowling, Michael, Mathematics & Statistics, Faculty of Science, UNSW en_US School of Mathematics & Statistics *
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